Energy Density given Electric Field Solution

STEP 0: Pre-Calculation Summary
Formula Used
Energy Density = 1/(2*Permittivity*Electric Field^2)
U = 1/(2*ε*E^2)
This formula uses 3 Variables
Variables Used
Energy Density - (Measured in Joule) - Energy Density is the amount of energy stored in a given system or region of space per unit volume.
Permittivity - Permittivity is the ability of a material to store electrical potential energy.
Electric Field - (Measured in Volt per Meter) - Electric Field is defined as the electric force per unit charge.
STEP 1: Convert Input(s) to Base Unit
Permittivity: 5 --> No Conversion Required
Electric Field: 600 Volt per Meter --> 600 Volt per Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
U = 1/(2*ε*E^2) --> 1/(2*5*600^2)
Evaluating ... ...
U = 2.77777777777778E-07
STEP 3: Convert Result to Output's Unit
2.77777777777778E-07 Joule --> No Conversion Required
FINAL ANSWER
2.77777777777778E-07 2.8E-7 Joule <-- Energy Density
(Calculation completed in 00.007 seconds)

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Birsa Institute of Technology (BIT), Sindri
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7 Energy Density and Energy Stored Calculators

Force between Parallel Plate Capacitors
Go Force = (Charge^2)/(2*Parallel Plate Capacitance*Distance between Two Masses)
Energy Density in Electric Field
Go Energy Density = 1/2*[Permitivity-vacuum]*Electric Field^2
Energy Stored in Capacitor given Charge and Capacitance
Go Electrostatic Potential Energy = (Charge^2)/(2*Capacitance)
Energy Stored in Capacitor given Capacitance and Voltage
Go Electrostatic Potential Energy = 1/2*Capacitance*Voltage^2
Energy Density in Electric Field given Free Space Permittivity
Go Energy Density = 1/(2*Permittivity*Electric Field^2)
Energy Density given Electric Field
Go Energy Density = 1/(2*Permittivity*Electric Field^2)
Energy Stored in Capacitor given Charge and Voltage
Go Electrostatic Potential Energy = 1/2*Charge*Voltage

Energy Density given Electric Field Formula

Energy Density = 1/(2*Permittivity*Electric Field^2)
U = 1/(2*ε*E^2)

Explain energy density.

Energy Density is defined as the total amount of energy in a system per unit volume. For example, the number of calories per gram of food. Foodstuffs that have low energy density provide less energy per gram of food which means that you can eat more of them since there are fewer calories. In the case of the electric field or capacitor, the energy density formula is given by U = 1/2 εoE2 E = E is the electric field and ε0 = permittivity of free space


How to Calculate Energy Density given Electric Field?

Energy Density given Electric Field calculator uses Energy Density = 1/(2*Permittivity*Electric Field^2) to calculate the Energy Density, Energy Density given electric field is defined as the total energy per unit volume of the capacitor. Energy Density is denoted by U symbol.

How to calculate Energy Density given Electric Field using this online calculator? To use this online calculator for Energy Density given Electric Field, enter Permittivity (ε) & Electric Field (E) and hit the calculate button. Here is how the Energy Density given Electric Field calculation can be explained with given input values -> 2.8E-7 = 1/(2*5*600^2).

FAQ

What is Energy Density given Electric Field?
Energy Density given electric field is defined as the total energy per unit volume of the capacitor and is represented as U = 1/(2*ε*E^2) or Energy Density = 1/(2*Permittivity*Electric Field^2). Permittivity is the ability of a material to store electrical potential energy & Electric Field is defined as the electric force per unit charge.
How to calculate Energy Density given Electric Field?
Energy Density given electric field is defined as the total energy per unit volume of the capacitor is calculated using Energy Density = 1/(2*Permittivity*Electric Field^2). To calculate Energy Density given Electric Field, you need Permittivity (ε) & Electric Field (E). With our tool, you need to enter the respective value for Permittivity & Electric Field and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Energy Density?
In this formula, Energy Density uses Permittivity & Electric Field. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Energy Density = 1/2*[Permitivity-vacuum]*Electric Field^2
  • Energy Density = 1/(2*Permittivity*Electric Field^2)
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